



 
Sampson, It takes seven weeks for 7 teams to play each other once because some team has a bye each week. To get a 22week schedule, you can do this: Suppose the teams in each division are numbered 1, 2, ..., 7. It is easy to make a schedue for a group of 7 teams to play each other once each. There is an example in the archives: http://mathcentral.uregina.ca/QQ/database/QQ.09.09/h/erich1.html. Use it three times for each division to get the indivision games. The first time through, make sure that teams with the same number have a bye in the same week, so that 1 plays 1, 2 plays 2, ..., 7 plays 7. After 7 weeks you will have one round of indivision games, and one round of between division games completed. The next time through, rearrange the schedule to make sure that the bye teams in the 7 weeks are such that 1 plays 2, 2 plays 3, ..., 7 plays 1. The next time, do it so that 1 plays 3, 2 plays 4, ..., 6 plays 1, 7 plays 2. In week 22 there will be 7 crossover games: 1 plays 4, 2 plays 4, ..., 5 plays 1, 6 plays 2, 7 plays 3. Victoria  


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